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Finding the Fourth Proportional to 64,952.96, 97,299.52 and 29,844.48

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Solution

The fourth proportional to 64,952.96, 97,299.52 and 29,844.48 is: 44,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.96 : 97,299.52 = 29,844.48 : x
  2. Step 2: Convert to fraction form
    64,952.96/97,299.52 = 29,844.48/x
  3. Step 3: Cross multiply
    64,952.96x = 97,299.52 × 29,844.48
  4. Step 4: Simplify right side
    64,952.96x = 2,903,853,578.65
  5. Step 5: Solve for x
    x = 2,903,853,578.65/64,952.96
  6. Step 6: Final answer
    x = 44,707.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.